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Finding the Third Proportional to 176,144.63 and 392,629.50

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Solution

The third proportional to 176,144.63 and 392,629.50 is: 875,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,144.63 : 392,629.50 = 392,629.50 : x
  2. Step 2: Convert to fraction form
    176,144.63/392,629.50 = 392,629.50/x
  3. Step 3: Cross multiply
    176,144.63x = 392,629.50 × 392,629.50
  4. Step 4: Simplify right side
    176,144.63x = 154,157,924,270.25
  5. Step 5: Solve for x
    x = 154,157,924,270.25/176,144.63
  6. Step 6: Final answer
    x = 875,178.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.